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11111nata11111 [884]
3 years ago
13

Solve the inequality7y + 2 < 5y + 12​

Mathematics
1 answer:
prisoha [69]3 years ago
7 0

Answer:

y < 5

Step-by-step explanation:

7y + 2 < 5y + 12

-2                   -2

7y < 5y + 10

-5y         -5y

2y < 10

/2      /2

y < 5

Hope this helps :)

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Among all pairs of numbers with a sum of 105 , find the pair whose product is maximum. Write your answers as fractions reduced t
Bond [772]

Answer: Hence Pair( x, y) = [ 105/2, 105/2]

Step-by-step explanation:

Given that;

Among all pairs of numbers with a sum of 105;

the pair whose product is maximum = ?

so let pairs of numbers with a sum of 105 be x and y respectively

x + y = 105

let y = 105 - x

now

product = xy =  x( 105 - x ) = 105x - x²

now

p(x) = 105x - x²

for maximum value of p

dp/dx =0

⇒ dp/dx = 105 - 2x = 0

2x = 105

x = 105/2

y + x = 105

y = 105 - x

y = 105 - 105/2 = 105/2

Hence Pair( x, y) = [ 105/2, 105/2]

8 0
3 years ago
In ΔVWX, the measure of ∠X=90°, WV = 65, XW = 16, and VX = 63. What ratio represents the tangent of ∠V?
djyliett [7]

Answer:

tanV=  adjacent /opposite  =  

\frac{16}{63}

​

Step-by-step explanation:

4 0
3 years ago
What is 1/10 into a fraction <br>​
Katyanochek1 [597]
You just put it in a fraction 1/10
4 0
3 years ago
PLEASE HELP ASAP A bucket contains 48 fluid ounces of water. How many quarts of water does the bucket contain? Enter your answer
Ivan

Answer:

1.5 Quarts

Step-by-step explanation:

A quart contains 32 fluid ounces. So divide 48 by 32. You get 1.5.

So the bucket contains 1.5 Quarts.

4 0
3 years ago
Help plssssssssssssssssssss
Whitepunk [10]

Answer: -74

Step-by-step explanation:

First you have to solve - 2y - 9 = 7 to find what "y" equals so we can plug that into 9y - 2

1. Solve -2y - 9 =7:

-2y = 16

y = -8

2. Plug -8 into the expression 9y - 2:

9(-8) - 2

-72 -2

-74!

Im sorry if i didnt do this correctly :/

5 0
3 years ago
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